Atkin-Lehner |
5+ 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
93775h |
Isogeny class |
Conductor |
93775 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
367488 |
Modular degree for the optimal curve |
Δ |
-519150414921875 = -1 · 57 · 118 · 31 |
Discriminant |
Eigenvalues |
2 -1 5+ 2 11- 1 -1 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,11092,996093] |
[a1,a2,a3,a4,a6] |
Generators |
[31866:2011621:8] |
Generators of the group modulo torsion |
j |
45056/155 |
j-invariant |
L |
10.838941747069 |
L(r)(E,1)/r! |
Ω |
0.36968650960469 |
Real period |
R |
4.8865464208624 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004585 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18755e1 93775j1 |
Quadratic twists by: 5 -11 |